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Finding the Third Proportional to 118,970.44 and 184,305.38

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Solution

The third proportional to 118,970.44 and 184,305.38 is: 285,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,970.44 : 184,305.38 = 184,305.38 : x
  2. Step 2: Convert to fraction form
    118,970.44/184,305.38 = 184,305.38/x
  3. Step 3: Cross multiply
    118,970.44x = 184,305.38 × 184,305.38
  4. Step 4: Simplify right side
    118,970.44x = 33,968,471,253.89
  5. Step 5: Solve for x
    x = 33,968,471,253.89/118,970.44
  6. Step 6: Final answer
    x = 285,520.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.